Answer:
A = 157 in^2
Step-by-step explanation:
First, we need to get the radius, we can do this by dividing our given diameter by 2.
20/2 = 10
Now, we have our radius of 10 inches.
Formula for Area of a Semi Circle: (1/2)(pi(r^2)
Input values.
(1/2)(3.14(10^2)
Solve.
(1/2)(3.14(100)
(1/2)(314)
1/2(314) = 157
Finally, we have our result which is 157 inches^2.
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➷ Find the original multiplier that would have reduced the price by 38%
multiplier is 0.78
Divide the value by this multiplier:
279/0.78 = 357.69
The original price was $357.70
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Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.